I love this quote from Math With Bad Drawings about why students should learn math:
In every walk of life, humans need to reason. So of course, they can learn these intellectual skills in other places. You don’t need math. But gosh, does math make it easier!
You can learn to taxonomize in biology, by considering the classification of organisms. But your taxonomies will never be perfect, because life doesn’t fit into neat little boxes. (I’m looking at you, protists.)
Life doesn’t… but math does.
Or you can learn to dissect arguments in civics. But emotions will flare. It’ll be tough to agree on premises. And even if you do, words like “justice,” “freedom,” and “common good” are subject to fuzzy interpretations and subtle misunderstandings. All words are like that: a little vague, tricky to pin down.
Except in math.
Logic shows up everywhere. But in math, it’s the whole game. Math isolates the operations of logic and reason so that we can master them.
In short: math is the playground of reason.
I recommend the entire article: https://mathwithbaddrawings.com/2016/06/08/a-quadratic-of-solace-or-maybe-math-class-has-a-purpose-question-mark/